摘要
研究了2个嵌套空间中的子流形.对于拟常曲率流形中的常曲率黎曼子流形以及常曲率黎曼子流形中的具有平行平均曲率向量的紧致伪脐子流形,给出了这种伪脐子流形是全脐子流形的3个充分条件.
Submanifolds in two nested space are discussed. For constant submanifolds in quasi-constant curvature Riemannian manifold, and pseudo-umbilical submanifold with parallel mean curvature vector in constant space, three sufficient conditions are given for pseudo-umbilical submanifold to be a totally umbilical submanifold in constant space.
出处
《宁夏大学学报（自然科学版）》
CAS
北大核心
2007年第2期117-119,123,共4页
Journal of Ningxia University(Natural Science Edition)
关键词
拟常曲率流形
伪脐子流形
全脐子流形
quasi-constant curvature manifold
pseudo-umbilical submanifold
totally umbilical submanifold
